20268080 has 80 divisors (see below), whose sum is σ = 57049920. Its totient is φ = 6537216.

The previous prime is 20268077. The next prime is 20268089. The reversal of 20268080 is 8086202.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20268089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8456 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (713124).

Almost surely, 2^20268080 is an apocalyptic number.

20268080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524960).

20268080 is an abundant number, since it is smaller than the sum of its proper divisors (36781840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20268080 is a wasteful number, since it uses less digits than its factorization.

20268080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20268080 is about 4502.0084406851. The cubic root of 20268080 is about 272.6491846471.

The spelling of 20268080 in words is "twenty million, two hundred sixty-eight thousand, eighty".